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13530124110 = 23537137193461
BaseRepresentation
bin11001001100111010…
…10100111101001110
31021220221022112000210
430212131110331032
5210202202432420
610114325303250
7656201104656
oct144635247516
937827275023
1013530124110
115813447558
122757264b26
1313781733c9
14924d23366
15542c6a9e0
hex326754f4e

13530124110 has 128 divisors (see below), whose sum is σ = 33840664704. Its totient is φ = 3459317760.

The previous prime is 13530124109. The next prime is 13530124123. The reversal of 13530124110 is 1142103531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29349280 + ... + 29349740.

It is an arithmetic number, because the mean of its divisors is an integer number (264380193).

Almost surely, 213530124110 is an apocalyptic number.

13530124110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530124110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920332352).

13530124110 is an abundant number, since it is smaller than the sum of its proper divisors (20310540594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13530124110 is a wasteful number, since it uses less digits than its factorization.

13530124110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13530124110 its reverse (1142103531), we get a palindrome (14672227641).

The spelling of 13530124110 in words is "thirteen billion, five hundred thirty million, one hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 137 185 193 222 274 370 386 411 461 555 579 685 822 922 965 1110 1158 1370 1383 1930 2055 2305 2766 2895 4110 4610 5069 5790 6915 7141 10138 13830 14282 15207 17057 21423 25345 26441 30414 34114 35705 42846 50690 51171 52882 63157 71410 76035 79323 85285 88973 102342 107115 126314 132205 152070 158646 170570 177946 189471 214230 255855 264410 266919 315785 378942 396615 444865 511710 533838 631570 793230 889730 947355 978317 1334595 1894710 1956634 2336809 2669190 2934951 3292001 4673618 4891585 5869902 6584002 7010427 9783170 9876003 11684045 12189301 14020854 14674755 16460005 19752006 23368090 24378602 29349510 32920010 35052135 36567903 49380015 60946505 70104270 73135806 98760030 121893010 182839515 365679030 451004137 902008274 1353012411 2255020685 2706024822 4510041370 6765062055 13530124110